What is the Greatest Common Factor of 65850 and 65860?

Greatest common factor (GCF) of 65850 and 65860 is 10.

GCF(65850,65860) = 10

We will now calculate the prime factors of 65850 and 65860, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 65850 and 65860.

How to find the GCF of 65850 and 65860?

We will first find the prime factorization of 65850 and 65860. After we will calculate the factors of 65850 and 65860 and find the biggest common factor number .

Step-1: Prime Factorization of 65850

Prime factors of 65850 are 2, 3, 5, 439. Prime factorization of 65850 in exponential form is:

65850 = 2¹ × 3¹ × 5² × 439¹

Step-2: Prime Factorization of 65860

Prime factors of 65860 are 2, 5, 37, 89. Prime factorization of 65860 in exponential form is:

65860 = 2² × 5¹ × 37¹ × 89¹

Step-3: Factors of 65850

List of positive integer factors of 65850 that divides 65850 without a remainder.

1, 2, 3, 5, 6, 10, 15, 25, 30, 50, 75, 150, 439, 878, 1317, 2195, 2634, 4390, 6585, 10975, 13170, 21950, 32925

Step-4: Factors of 65860

List of positive integer factors of 65860 that divides 65850 without a remainder.

1, 2, 4, 5, 10, 20, 37, 74, 89, 148, 178, 185, 356, 370, 445, 740, 890, 1780, 3293, 6586, 13172, 16465, 32930

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 65850 and 65860. The biggest common factor number is the GCF number.
So the greatest common factor 65850 and 65860 is 10.

Also check out the Least Common Multiple of 65850 and 65860